Nielsen equivalence in a class of random groups

Ilya Kapovich, Richard Weidmann

Research output: Contribution to journalArticlepeer-review


We show that, for every n ≥ 2, there exists a torsion-free one-ended word-hyperbolic group G of rank n admitting generating n-tuples (a1, . . . , an) and (b1, . . . , bn) such that the (2n - 1)-tuples are not Nielsen equivalent in G. The group G is produced via a probabilistic construction.

Original languageEnglish (US)
Article numberjtw001
Pages (from-to)502-534
Number of pages33
JournalJournal of Topology
Issue number2
StatePublished - Jun 6 2016

ASJC Scopus subject areas

  • Geometry and Topology

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